• PERIODIC SOLUTIONS FOR NON-LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS

Raad. N. Butris*, Suham Kh. Shammo

Abstract


In this work, we investigate a periodic solution for non-linear systems of differential equations with boundary conditions by using the numerical analytic method, which was introduced by (Samoilenko, A. M.), These investigations lead us to improving and extending the above method. Also we expand the results obtained by Samoilenko to change the periodic system of non-linear differential equations with initial condition to periodic a system of non-linear differential equations with boundary conditions conditions.


Keywords


Numerical-analytic methods, existence of periodic solutions, nonlinear system, boundary conditions.

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